454968900 has 189 divisors, whose sum is σ = 1499221101. Its totient is φ = 119789280.

The previous prime is 454968869. The next prime is 454968929. The reversal of 454968900 is 9869454.

It is a happy number.

The square root of 454968900 is 21330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163788804 + 291180096 = 12798^2 + 17064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5759061 + ... + 5759139.

Almost surely, 2^454968900 is an apocalyptic number.

454968900 is the 21330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454968900

454968900 is an abundant number, since it is smaller than the sum of its proper divisors (1044252201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454968900 is an equidigital number, since it uses as much as digits as its factorization.

454968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 454968900 is about 769.1196437678.

The spelling of 454968900 in words is "four hundred fifty-four million, nine hundred sixty-eight thousand, nine hundred".